求解大类非线性系统的偏微分方程新方法
New Method for Solving Large Classes of Nonlinear Systems of PDEs
摘要：
介绍了一种新方法的要点，该方法用于求解大量可能与初值和/或边值问题相关的偏微分方程非线性系统。偏微分方程可以用连续的、不一定光滑的表达式来定义，所得的解可以与通常的可测函数，甚至与Hausdorff连续函数同化.相应的结果完全抛开，并与一个大的非线性利润率，著名的1957年不可能的汉斯Lewy关于不存在的解决方案分布的大型类的线性光滑系数偏微分方程。
英文摘要：
The essentials of a new method in solving very large classes of nonlinear systems of PDEs, possibly associated with initial and/or boundary value problems, are presented. The PDEs can be defined by continuous, not necessarily smooth expressions, and the solutions obtained cab be assimilated with usual measurable functions, or even with Hausdorff continuous ones. The respective result sets aside completely, and with a large nonlinear margin, the celebrated 1957 impossibility of Hans Lewy regarding the nonexistence of solution in distributions of large classes of linear smooth coefficient PDEs.
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